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  4. A boy weighing 50 kg eat some bananas. The energy content of the bananas is 1000 cal . If the boy uses all of this energy to jump upwards from the ground, then the height up to which his centre of mass will rise is [mechanical equivalent of heat = 4.2 J cal- 1 , g=10 m s- 2 ]

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Q. A boy weighing $50 \, kg$ eat some bananas. The energy content of the bananas is $1000 \, cal$ . If the boy uses all of this energy to jump upwards from the ground, then the height up to which his centre of mass will rise is [mechanical equivalent of heat = $4.2 \, J \, cal^{- 1}$ , $g=10 \, m \, s^{- 2}$ ]

NTA AbhyasNTA Abhyas 2020

Solution:

Energy used by the boy is
$E=1000\times 4.2 \, J$
$\Rightarrow 4200=50\times 10\times h$
$\Rightarrow h=8.4 \, m$